Search a number
-
+
100021010000120 = 23511718338574661
BaseRepresentation
bin10110101111011111110100…
…110001010110100011111000
3111010010220201011100010020022
4112233133310301112203320
5101102221012030000440
6552421003451550012
730032164604200016
oct2657376461264370
9433126634303208
10100021010000120
112996274366a240
12b2748a9a5b308
1343a6c2cb4c691
141a9b0852c98b6
15b86b99044cb5
hex5af7f4c568f8

100021010000120 has 128 divisors (see below), whose sum is σ = 251963520238080. Its totient is φ = 35426967744000.

The previous prime is 100021010000089. The next prime is 100021010000159. The reversal of 100021010000120 is 21000010120001.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a junction number, because it is equal to n+sod(n) for n = 100021010000098 and 100021010000107.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16694411 + ... + 21880250.

It is an arithmetic number, because the mean of its divisors is an integer number (1968465001860).

Almost surely, 2100021010000120 is an apocalyptic number.

100021010000120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100021010000120 is an abundant number, since it is smaller than the sum of its proper divisors (151942510237960).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

100021010000120 is a wasteful number, since it uses less digits than its factorization.

100021010000120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38574837 (or 38574833 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 100021010000120 its reverse (21000010120001), we get a palindrome (121021020120121).

The spelling of 100021010000120 in words is "one hundred trillion, twenty-one billion, ten million, one hundred twenty", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 71 83 88 110 142 166 220 284 332 355 415 440 568 664 710 781 830 913 1420 1562 1660 1826 2840 3124 3320 3652 3905 4565 5893 6248 7304 7810 9130 11786 15620 18260 23572 29465 31240 36520 47144 58930 64823 117860 129646 235720 259292 324115 518584 648230 1296460 2592920 38574661 77149322 154298644 192873305 308597288 385746610 424321271 771493220 848642542 1542986440 1697285084 2121606355 2738800931 3201696863 3394570168 4243212710 5477601862 6403393726 8486425420 10955203724 12806787452 13694004655 16008484315 16972850840 21910407448 25613574904 27388009310 30126810241 32016968630 35218665493 54776018620 60253620482 64033937260 70437330986 109552037240 120507240964 128067874520 140874661972 150634051205 176093327465 227320477273 241014481928 281749323944 301268102410 352186654930 454640954546 602536204820 704373309860 909281909092 1136602386365 1205072409640 1408746619720 1818563818184 2273204772730 2500525250003 4546409545460 5001050500006 9092819090920 10002101000012 12502626250015 20004202000024 25005252500030 50010505000060 100021010000120